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Finding the Fourth Proportional to 14,374.14, 19,835.16 and 8,000.22

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Solution

The fourth proportional to 14,374.14, 19,835.16 and 8,000.22 is: 11,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.14 : 19,835.16 = 8,000.22 : x
  2. Step 2: Convert to fraction form
    14,374.14/19,835.16 = 8,000.22/x
  3. Step 3: Cross multiply
    14,374.14x = 19,835.16 × 8,000.22
  4. Step 4: Simplify right side
    14,374.14x = 158,685,643.74
  5. Step 5: Solve for x
    x = 158,685,643.74/14,374.14
  6. Step 6: Final answer
    x = 11,039.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.